14. A particle is projected verically upwards with an initial velocity of 40 ms. Find the displacemen: and distance covered by the parice in 6 seconds. Take g = 10 ms.
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Answer:
By first equation the maximum height reached
v=u+at
0=40+(−g)(t)
t=
g
40
=4sec
Then, the drop of particle from maximum height
s=ut+
2
1
at
2
[6sec=4sec+2sec]
s=
2
1
(g)(2)
2
=20m
Maximum height reached by particle
s=ut+
2
1
at
2
s=40(4)+
2
1
(10)(4)
2
=40×4+5×16
s=160+80=240m
Thus,
Displacement =240−20=220m
Distance =240+20=260m
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